N tua R х a 1) Consider a loop of conducting wire with radius a in the xy plane, carrying a current I(tr) = ktr. Conside

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N tua R х a 1) Consider a loop of conducting wire with radius a in the xy plane, carrying a current I(tr) = ktr. Consider further a point T which is a small distance away from a point ro on the z axis, i.e. = rotor with 8 ro - 0 or dy 9 2 0 = and (8., 8,,83) < z. Let me = 77 where mo = a cos o ĉ + a sin oy is a point on the wire loop see the Figure above. a) To first (i.e., linear) order in 8./R, <1, 8y/R, < 1, and 8:/R, <1, find an approximate expression for the scalar (V) and vector (À) potentials at the point To i.e., in the vicinity of ry). b) Use the result from a) to calculate the electric (E) and magnetic (B) fields at the point ro. [50] 1